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Flat Cohomology Purity Results by Justin Asher is a document available to read on EtoBox.
What is Flat Cohomology Purity Results about?
The document establishes a flat cohomology version of the Gabber–Thomason purity theorem for étale cohomology, demonstrating that for a complete intersection Noetherian local ring and a finite flat R-group, the flat cohomology vanishes below the dimension of the ring. It provides proofs using perfectoid techniques and discusses the implications for the Brauer group and cohomological purity in various contexts. The work also addresses conjectures by Gabber and presents significant results related to the coho
- Author
- Justin Asher
- Language
- EN